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Finding the Fourth Proportional to 14,560, 21,840 and 3,616

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Solution

The fourth proportional to 14,560, 21,840 and 3,616 is: 5,424

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560 : 21,840 = 3,616 : x
  2. Step 2: Convert to fraction form
    14,560/21,840 = 3,616/x
  3. Step 3: Cross multiply
    14,560x = 21,840 × 3,616
  4. Step 4: Simplify right side
    14,560x = 78,973,440
  5. Step 5: Solve for x
    x = 78,973,440/14,560
  6. Step 6: Final answer
    x = 5,424

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.